A Mathematical Model for the Vector Ephaptic Perceptron

Rosenblatt's perceptron was a breakthrough in the mathematical understanding of learning and related higher cognitive functions. In the present paper, the authors extend Rosenblatt's model to the vector setting which enables the modeling of coupling between perceptrons. The form of the coupling suggests a geometric formulation as well which connects the present work to prior work on metric perturbations in axon tracts.